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Simplifying 8(4y + -5) + -7a = 20y + -10 Reorder the terms: 8(-5 + 4y) + -7a = 20y + -10 (-5 * 8 + 4y * 8) + -7a = 20y + -10 (-40 + 32y) + -7a = 20y + -10 Reorder the terms: -40 + -7a + 32y = 20y + -10 Reorder the terms: -40 + -7a + 32y = -10 + 20y Solving -40 + -7a + 32y = -10 + 20y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -7a + 40 + 32y = -10 + 40 + 20y Reorder the terms: -40 + 40 + -7a + 32y = -10 + 40 + 20y Combine like terms: -40 + 40 = 0 0 + -7a + 32y = -10 + 40 + 20y -7a + 32y = -10 + 40 + 20y Combine like terms: -10 + 40 = 30 -7a + 32y = 30 + 20y Add '-32y' to each side of the equation. -7a + 32y + -32y = 30 + 20y + -32y Combine like terms: 32y + -32y = 0 -7a + 0 = 30 + 20y + -32y -7a = 30 + 20y + -32y Combine like terms: 20y + -32y = -12y -7a = 30 + -12y Divide each side by '-7'. a = -4.285714286 + 1.714285714y Simplifying a = -4.285714286 + 1.714285714y
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