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Simplifying 7(2y + -1) + 3y = -3(y + 2) * 15 Reorder the terms: 7(-1 + 2y) + 3y = -3(y + 2) * 15 (-1 * 7 + 2y * 7) + 3y = -3(y + 2) * 15 (-7 + 14y) + 3y = -3(y + 2) * 15 Combine like terms: 14y + 3y = 17y -7 + 17y = -3(y + 2) * 15 Reorder the terms: -7 + 17y = -3(2 + y) * 15 Reorder the terms for easier multiplication: -7 + 17y = -3 * 15(2 + y) Multiply -3 * 15 -7 + 17y = -45(2 + y) -7 + 17y = (2 * -45 + y * -45) -7 + 17y = (-90 + -45y) Solving -7 + 17y = -90 + -45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45y' to each side of the equation. -7 + 17y + 45y = -90 + -45y + 45y Combine like terms: 17y + 45y = 62y -7 + 62y = -90 + -45y + 45y Combine like terms: -45y + 45y = 0 -7 + 62y = -90 + 0 -7 + 62y = -90 Add '7' to each side of the equation. -7 + 7 + 62y = -90 + 7 Combine like terms: -7 + 7 = 0 0 + 62y = -90 + 7 62y = -90 + 7 Combine like terms: -90 + 7 = -83 62y = -83 Divide each side by '62'. y = -1.338709677 Simplifying y = -1.338709677
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