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Simplifying -51 + 6y + 4 = 2(5y + -4) + -7 Reorder the terms: -51 + 4 + 6y = 2(5y + -4) + -7 Combine like terms: -51 + 4 = -47 -47 + 6y = 2(5y + -4) + -7 Reorder the terms: -47 + 6y = 2(-4 + 5y) + -7 -47 + 6y = (-4 * 2 + 5y * 2) + -7 -47 + 6y = (-8 + 10y) + -7 Reorder the terms: -47 + 6y = -8 + -7 + 10y Combine like terms: -8 + -7 = -15 -47 + 6y = -15 + 10y Solving -47 + 6y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -47 + 6y + -10y = -15 + 10y + -10y Combine like terms: 6y + -10y = -4y -47 + -4y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 -47 + -4y = -15 + 0 -47 + -4y = -15 Add '47' to each side of the equation. -47 + 47 + -4y = -15 + 47 Combine like terms: -47 + 47 = 0 0 + -4y = -15 + 47 -4y = -15 + 47 Combine like terms: -15 + 47 = 32 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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